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Finding the Third Proportional to 386,346 and 567,963

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Solution

The third proportional to 386,346 and 567,963 is: 834,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,346 : 567,963 = 567,963 : x
  2. Step 2: Convert to fraction form
    386,346/567,963 = 567,963/x
  3. Step 3: Cross multiply
    386,346x = 567,963 × 567,963
  4. Step 4: Simplify right side
    386,346x = 322,581,969,369
  5. Step 5: Solve for x
    x = 322,581,969,369/386,346
  6. Step 6: Final answer
    x = 834,956.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.